Analysis of the quotations from Leo Tolstoy’s «What I Believe», that Nietzsche copied out and worked on in late 1887-early 1888, shows that after reading this book Nietzsche significantly changed his attitude toward Christianity. Before that he did not see any difference between the teachings of Jesus Christ and historic Christianity, but from that moment on, following Tolstoy, he draws a sharp opposition between them. Still persisting in a very negative assessment of historical Christianity, he acknowledges the teaching of Christ (...) as positive insofar as it contributes to the unfolding of the internal capabilities of the human being. (shrink)

En Occidente son bien conocidos los pensadores rusos de los siglos XIX y XX: Fiodor Doctoievski, Lev Tolstoj, Vladimir Soloviev, Pavel Florenskij, Nicolaj Berdaiev y otros. Pero si los especialistas estudian con profundidad y seriedad el pensamiento ruso literario y filosófico. Por otro lado, las tradiciones filosóficas que se han desarrollado en Rusia a lo largo de los siglos constituyen sin duda parte de la cultura nacional rusa, así como de la cultura europea y mundial. Este breve artículo persigue (...) dos metas: dar a conocer al lector español algunos jalones del desarrollo de la filosofía rusa en el contexto de la historia del pensamiento europeo, con especial atención a su papel en el campo de la educación, y describir la situación y el papel de la filosofía en la actual sociedad rusa. (shrink)

Śiḥot maran ha-Mashgiaḥ Mohari Leṿinshṭain, zatsal -- Ḥidushe torato ʻa. Mas. B.ḳ. ṿe-liḳuṭim -- Leḳeṭ mi-maʼamraṿ mi-moreshet Daṿid Heber ṿe-ʻinyene ha-shaʻah.

The main focus of the book is the presentation of the 'inertial' view of population growth. This view provides a rather simple model for complex population dynamics, and is achieved at the level of the single species without invoking species interactions. An important part of this account is the maternal effect. Investment of mothers in the quality of their daughters makes the rate of reproduction of the current generation depend not only on the current environment, but also on the environment (...) experienced by the previous generation. (shrink)

The Many-Worlds Interpretation (MWI) is an approach to quantum mechanics according to which, in addition to the world we are aware of directly, there are many other similar worlds which exist in parallel at the same space and time. The existence of the other worlds makes it possible to remove randomness and action at a distance from quantum theory and thus from all physics.

This is a philosophical paper in favor of the many-worlds interpretation of quantum theory. The necessity of introducing many worlds is explained by analyzing a neutron interference experiment. The concept of the “measure of existence of a world” is introduced and some difficulties with the issue of probability in the framework of the MWI are resolved.

What is the most important reason for using Computer Vision methods in humanities research? In this article, I argue that the use of numerical representation and data analysis methods offers a new language for describing cultural artifacts, experiences and dynamics. The human languages such as English or Russian that developed rather recently in human evolution are not good at capturing analog properties of human sensorial and cultural experiences. These limitations become particularly worrying if we want to compare thousands, millions or (...) billions of artifacts—i.e. to study contemporary media and cultures at their new twenty-first century scale. When we instead use numerical measurements of image properties standard in Computer Vision, we can better capture details of a single artifact as well as visual differences between a number of artifacts–even if they are very small. The examples of visual dimensions that numbers can capture better then languages include color, shape, texture, contours, composition, and visual characteristics of represented faces, bodies and objects. The methods of finding structures and relationships in large numerical datasets developed in statistics and machine learning allow us to extend this analysis to very big datasets of cultural objects. Equally importantly, numerical image features used in Computer Vision also give us a new language to represent gradual and continuous temporal changes—something which natural languages are also bad at. This applies to both single artworks such as a film or a dance piece and also to changes in visual characteristics in millions of artifacts over decades or centuries. (shrink)

Historically, appearance of the quantum theory led to a prevailing view that Nature is indeterministic. The arguments for the indeterminism and proposals for indeterministic and deterministic approaches are reviewed. These include collapse theories, Bohmian Mechanics and the many-worlds interpretation. It is argued that ontic interpretations of the quantum wave function provide simpler and clearer physical explanation and that the many-worlds interpretation is the most attractive since it provides a deterministic and local theory for our physical Universe explaining the illusion of (...) randomness and nonlocality in the world we experience. (shrink)

Progressions of iterated reflection principles can be used as a tool for the ordinal analysis of formal systems. We discuss various notions of proof-theoretic ordinals and compare the information obtained by means of the reflection principles with the results obtained by the more usual proof-theoretic techniques. In some cases we obtain sharper results, e.g., we define proof-theoretic ordinals relevant to logical complexity Π1 0 and, similarly, for any class Π n 0 . We provide a more general version of the (...) fine structure relationships for iterated reflection principles (due to U. Schmerl [25]). This allows us, in a uniform manner, to analyze main fragments of arithmetic axiomatized by restricted forms of induction, including IΣ n , IΣ n − , IΠ n − and their combinations. We also obtain new conservation results relating the hierarchies of uniform and local reflection principles. In particular, we show that (for a sufficiently broad class of theories T) the uniform Σ1-reflection principle for T is Σ2-conservative over the corresponding local reflection principle. This bears some corollaries on the hierarchies of restricted induction schemata in arithmetic and provides a key tool for our generalization of Schmerl's theorem. (shrink)

It is argued that, although in the Many-Worlds Interpretation of quantum mechanics there is no ``probability'' for an outcome of a quantum experiment in the usual sense, we can understand why we have an illusion of probability. The explanation involves: a). A ``sleeping pill'' gedanken experiment which makes correspondence between an illegitimate question: ``What is the probability of an outcome of a quantum measurement?'' with a legitimate question: ``What is the probability that ``I'' am in the world corresponding to that (...) outcome?''; b). A gedanken experiment which splits the world into several worlds which are identical according to some symmetry condition; and c). Relativistic causality, which together with explain the Born rule of standard quantum mechanics. The Quantum Sleeping Beauty controversy and ``caring measure'' replacing probability measure are discussed. (shrink)

Two recently proposed quantum experiments are analyzed. The first allows to find an object without "touching" it. The second allows to teleport quantum states, transmitting a very small amount of information. It is shown that in the standard approach these experiments are in conflict with the intuitive notions of causality and locality. It is argued that the situation is less paradoxical in the framework of the many-worlds interpretation of quantum theory.

Provability logic GLP is well-known to be incomplete w.r.t. Kripke semantics. A natural topological semantics of GLP interprets modalities as derivative operators of a polytopological space. Such spaces are called GLP-spaces whenever they satisfy all the axioms of GLP. We develop some constructions to build nontrivial GLP-spaces and show that GLP is complete w.r.t. the class of all GLP-spaces.

The article examines the phenomenon of conformism in the context of socialist realism, which for a long time was the main direction for the Soviet art sphere. Conformism is interpreted as an effective way for the artist to optimize relations with the authorities and society, giving the opportunity for social self-preservation. Conformism is a kind of strategy for artists, thanks to which they manage to achieve their creative goals and successfully exist within the established cultural framework. The author of the (...) article argues that conformism helped artists who put their creativity at the service of socialist realism to find some basis for their activities, because socialist realism did not initially have such a basis. The author comes to the conclusion that in the conditions of constant transformation of cultural requirements and the need to fully comply with them, conformism becomes for the artist not just a tactic in achieving creative goals, but also a kind of self-defense mechanism that allows to preserve mental and physical health. The most successful Soviet artists were able to realize their talent by creating many bright works of art due to the fact that they created precisely in the mainstream of socialist realism, and if it were not for it, perhaps the world would never have known about some outstanding Soviet artists, as well as not seen their works of art, since the realization of Soviet artists in another cultural environment might well not have taken place. (shrink)

The first volume in the new critical edition of Lev Shestov's work in English, which I have been asked to coordinate. The volume includes my preface and annotations.

A brief review of the attempts to define “elements of reality” in the framework of quantum theory is presented. It is noted that most definitions of elements of reality have in common the feature to be a definite outcome of some measurement. Elements of reality are extended to pre- and post- selected systems and to measurements which fulfill certain criteria of weakness of the coupling. Some features of the newly introduced concepts are discussed.

It is argued that Lewis's approach to Elga's Sleeping Beaty problem is untenable and, therefore, the universality of the betting approach to probability has not been breached.

Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is considered and a novel time-symmetric definition of quantum counterfactuals is proposed. This definition is applied for analyzing several controversies related to quantum counterfactuals.

The article brings under scrutiny an understudied dialogical account about the deposition of the patriarch of Constantinople Nicholas IV Mouzalon (1147-51). A close reading shows that this is not an official record of the proceedings but a piece of fiction that deliberately inverts the generic conventions of the two types of texts indicative of the 12th-century literary landscape, namely 1) minutes of church councils and 2) syllogistic theological dialogues. The anonymous author invites the reader to recognize the all-familiar scheme of (...) the Socratic interrogation but eventually departs from it investing the protagonists (Manuel I Komnenos and Mouzalon) with features that distance them from their Platonic models. The text seems to be inextricably linked to Mouzalon’s canonical dilemma: can an archbishop who previously voluntarily fled from his office be appointed archbishop once again? In fact, the author’s primary concern is not the patriarch but the emperor, a judge-logician who is at one and the same time Socrates and more than Socrates, and the new language able to reflect the changing balance between the imperial and ecclesiastical powers in mid- 12th-century Byzantium. (shrink)

Translation of Lev Shestov's What is Philosophy?

We investigate the bimodal logics sound and complete under the interpretation of modal operators as the provability predicates in certain natural pairs of arithmetical theories . Carlson characterized the provability logic for essentially reflexive extensions of theories, i.e. for pairs similar to . Here we study pairs of theories such that the gap between and is not so wide. In view of some general results concerning the problem of classification of the bimodal provability logics we are particularly interested in such (...) pairs that is axiomatized over by ∏1-sentences only, and, for each n 1, proves the n-times iterated consistency of . A complete axiomatization, along with the appropriate Kripke semantics and decision procedures, is found for the two principal cases: finitely axiomatizable extensions of this sort, like e.g. ), ), etc., and reflexive extensions, like ¦n 1\s}), etc. We show that the first logic, ICP, is the minimal and the second one, RP, is the maximal within the class of the provability logics for such pairs of theories. We also show that there are some provability logics lying strictly between these two. As an application of the results of this paper, in the last section the polymodal provability logics for natural recursive progressions of theories based on iteration of consistency are characterized. We construct a system of ordinal notation , which gives exactly one notation to each constructive ordinal, such that the logic corresponding to any progression along coincides with that along natural Kalmar elementary well-orderings. (shrink)

We suggest an algebraic approach to proof-theoretic analysis based on the notion of graded provability algebra, that is, Lindenbaum boolean algebra of a theory enriched by additional operators which allow for the structure to capture proof-theoretic information. We use this method to analyze Peano arithmetic and show how an ordinal notation system up to 0 can be recovered from the corresponding algebra in a canonical way. This method also establishes links between proof-theoretic ordinal analysis and the work which has been (...) done in the last two decades on provability logic and reflection principles. Because of its abstract algebraic nature, we hope that it will also be of interest for non-prooftheorists. (shrink)

Cognitive Science, Volume 45, Issue 11, November 2021.

It is argued that the many-worlds interpretation is by far the best interpretation of quantum mechanics. The key points of this view are viewing the wave functions of worlds in three dimensions and understanding probability through self-locating uncertainty.

First English-language translation of Lev Shestov's early writings on faith, ancient philosophy and biblical revelation.

Naturalist aestetics, strictly speaking, is a move to establish naturalist explanation of aesthetic phenomena. It was nearly forgotten, at least in the history of aesthetics, where, if mentioned, it was put aside as something dead and despised. Its reappearance in recent years, among other occasions at the XIVIVth International Congress of Aesthetics (Rio de Janeiro, 2004), came as a surprise and a challenge. Its second modernity has predecessors in the first modernity, and Darwin is only one of the many, and (...) its background in contemporary naturalist proposals in social and human sciences (biosociology, evolutionary psychology, cognitive science, etc.). Contemporary proposals to explain some basic aesthetic preferences of taste, and aesthetic pleasure itself in terms of evolution, may be illuminated by historical background. We can also understand them (in Ulrich Beck's vocabulary) as second modernity, as a move to deal with uncertainties of aesthetics. What still makes contemporary naturalist aesthetics a continuation of aesthetic modernity, however, is its inability to take (contemporary) art seriously. (shrink)

The article examines the historiosophical reflections of F. I. Tyutchev, presented in his treatises, letters, poems, and substantiates the idea that Tyutchev does not proclaim slogans of either Slavophil or Westernist doctrines, but creates an original imperial ideology. Tyutchev views Russia as an equal and integral part of Europe, linking the existence of the empire with the development of the European spirit in Russia. The main criterion for the existence of the empire is unity. If it does not exist, then (...) the state as an empire cannot exist. Tyutchev treated Orthodoxy as a historiosophical category. He bases his concept of the historical process on the traditions of Eastern Christianity and the legacy of the Byzantine Empire. In the idea of an empire based on Christian principles, Tyutchev sees the best system of statehood. For Tyutchev, the Russian people and Orthodoxy play a major role in the transformation of the world. In the concept of state and power, the categories of Christian ethics are especially important for Tyutchev, which, in his opinion, were not really relevant for the upper strata of society and representatives of the Russian government. The poet calls power "godless", claiming that it does not come from God, but is based on its material power, without recognizing a higher Divine authority over itself. The reason for the "godlessness" of the authorities was the separation from the Russian people and their national traditions and the departure from the historical past of "Holy Russia". This, from Tyutchev's point of view, is the main existential problem of Russia. Tyutchev's concept of empire was not a reproduction of the realities of the political life of Russia in the XIX century, but was an attempt to answer how the state should be built. Tyutchev's ideal of the Russian state is based on a society united by a single Christian faith. (shrink)

Sociolinguistic research shows that listeners' expectations of speakers influence their interpretation of the speech, yet this is often ignored in cognitive models of language comprehension. Here, we focus on the case of interactions between native and non-native speakers. Previous literature shows that listeners process the language of non-native speakers in less detail, because they expect them to have lower linguistic competence. We show that processing the language of non-native speakers increases lexical competition and access in general, not only of the (...) non-native speaker's speech, and that this leads to poorer memory of one's own speech during the interaction. We further find that the degree to which people adjust their processing to non-native speakers is related to the degree to which they adjust their speech to them. We discuss implications for cognitive models of language processing and sociolinguistic research on attitudes. (shrink)

A recent claim by Meehan that quantum mechanics has a new “control problem” that puts limits on our ability to prepare quantum states and revises our understanding of the no-cloning theorem is examined. We identify flaws in Meehan’s analysis and argue that such a problem does not exist.

An attempt to solve the collapse problem in the framework of a time-symmetric quantum formalism is reviewed. Although the proposal does not look very attractive, its concept - a world defined by two quantum states, one evolving forwards and one evolving backwards in time - is found to be useful in modifying the many-worlds picture of Everett’s theory.

By a result of Paris and Friedman, the collection axiom schema for $\Sigma_{n+1}$ formulas, $B\Sigma_{n+1}$ , is $\Pi_{n+2}$ conservative over $I\Sigma_n$ . We give a new proof-theoretic proof of this theorem, which is based on a reduction of $B\Sigma_n$ to a version of collection rule and a subsequent analysis of this rule via Herbrand's theorem. A generalization of this method allows us to improve known results on reflection principles for $B\Sigma_n$ and to answer some technical questions left open by Sieg (...) [23] and Hájek [9]. We also give a new proof of independence of $B\Sigma_{n+1}$ over $I\Sigma_n$ by a direct recursion-theoretic argument and answer an open problem formulated by Gaifman and Dimitracopoulos [8]. (shrink)